## Abstract

We establish a singular perturbation result for quasi-linear hyperbolic systems in a bounded domain of R^{3}, depending on a small parameter. We prove and estimate the rate of convergence, as the parameter tends to zero, of uniformly stable solutions of the complete system to a solution of the reduced system. This result is then applied to the study of the convergence of the complete Maxwell equations to the quasi-stationary ones.

Original language | English |
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Pages (from-to) | 111-129 |

Number of pages | 19 |

Journal | Pacific Journal of Mathematics |

Volume | 116 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1985 |

## All Science Journal Classification (ASJC) codes

- Mathematics(all)

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